58 citations · 59 across the 5 of their papers we have counts for
6 papers
Existence and Uniqueness of Energy Solutions to the Stochastic Diffusive Surface Quasi-Geostrophic Equation with Additive Noise
Nathan Totz
We continue our study of the dynamics of a nearly inviscid periodic surface quasi-geostrophic equation. Here we consider a slightly diffusive stochastic SQG equation of the form \b…
Global Flows with Invariant Measures for the Inviscid Modified SQG Equations
Andrea Nahmod, Natasa Pavlovic, Gigliola Staffilani +1
We consider the family known as modified or generalized surface quasi-geostrophic equations (mSQG) consisting of the classical inviscid surface quasi-geostrophic (SQG) equation tog…
Global Well-Posedness of 2D Non-Focusing Schrödinger Equations via Rigorous Modulation Approximation
Nathan Totz
We consider the long time well-posedness of the Cauchy problem with large Sobolev data for a class of nonlinear Schrödinger equations (NLS) on with power nonlinearit…
An extension of Hörmander's hypoellipticity theorem
David P. Herzog, Nathan Totz
Motivated by applications to stochastic differential equations, an extension of Hörmander's hypoellipticity theorem is proved for second-order degenerate elliptic operators with no…
A Justification of the Modulation Approximation to the 3D Full Water Wave Problem
Nathan Totz
We consider small amplitude wave packet-like solutions to the 3D inviscid incompressible irrotational infinite depth water wave problem neglecting surface tension. Formal multiscal…
A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem
Nathan Totz, Sijue Wu
We consider the 2D inviscid incompressible irrotational infinite depth water wave problem neglecting surface tension. Given wave packet initial data, we show that the modulation of…